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Finding the Fourth Proportional to 5,582.86, 8,375.08 and 1,886.16

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Solution

The fourth proportional to 5,582.86, 8,375.08 and 1,886.16 is: 2,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.86 : 8,375.08 = 1,886.16 : x
  2. Step 2: Convert to fraction form
    5,582.86/8,375.08 = 1,886.16/x
  3. Step 3: Cross multiply
    5,582.86x = 8,375.08 × 1,886.16
  4. Step 4: Simplify right side
    5,582.86x = 15,796,740.89
  5. Step 5: Solve for x
    x = 15,796,740.89/5,582.86
  6. Step 6: Final answer
    x = 2,829.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.